Fractional maximal operator in the local Morrey-Lorentz spaces and some applications

被引：1
|
作者：
Guliyev, V. S. [1 ,2 ]
Aykol, C. [3 ]
Kucukaslan, A. [4 ]
Serbetci, A. [3 ]
机构：
[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan
[2] Inst Math & Mech, Baku, Azerbaijan
[3] Ankara Univ, Dept Math, Ankara, Turkiye
[4] Ankara Yildirim Beyazit Univ, Dept Aerosp Engn, Ankara, Turkiye
来源：
AFRIKA MATEMATIKA | 2024年 / 35卷 / 01期
关键词：
Local Morrey-Lorentz spaces; Fractional maximal operator; Schrodinger operator; SUFFICIENT CONDITIONS; SCHRODINGER-OPERATORS; BOUNDEDNESS; INEQUALITY;
D O I：
10.1007/s13370-023-01145-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we obtain the necessary and sufficient conditions for the boundedness of the fractional maximal operator M(alpha)in the local Morrey-Lorentz spaces M-p,q; lambda(loc) (R-n). We use sharp rearrangement inequalities while proving our result. We apply this result to the Schrodinger operator -Delta + V on R-n, where the nonnegative potential V belongs to the reverse Holder class B-infinity(R-n). The local Morrey-Lorentz MMp,q; lambda loc (R-n)-> M-q,s; lambda(loc)(Rn) estimates for the Schrodinger type operators V-gamma(-Delta + V)(-beta) and V-gamma del (-Delta + V)(-beta) are obtained.
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收藏
页数：11
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